2020
7
2
0
230
SOME RESULTS ON THE COMPLEMENT OF THE INTERSECTION GRAPH OF SUBGROUPS OF A FINITE GROUP
2
2
Let G be a group. Recall that the intersection graph of subgroups of G is an undirected graph whose vertex set is the set of all nontrivial subgroups of G and distinct vertices H,K are joined by an edge in this graph if and only if the intersection of H and K is nontrivial. The aim of this article is to investigate the interplay between the grouptheoretic properties of a finite group G and the graphtheoretic properties of the complement of the intersection graph of subgroups of G.
1

105
130


S.
Visweswaran
Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.
Department of Mathematics, Saurashtra University
Iran
s_visweswaran2006@yahoo.co.in


P.
Vadhel
Department of Mathematics, Saurashtra University P.O.Box 360 005, Rajkot, India.
Department of Mathematics, Saurashtra University
Iran
pravin_2727@yahoo.com
Complement of the intersection graph of subgroups of a finite group
finite abelian group
connected graph
girth of a graph
THE SPECTRAL DETERMINATION OF THE MULTICONE GRAPHS Kw ▽ C WITH RESPECT TO THEIR SIGNLESS LAPLACIAN SPECTRA
2
2
The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra. A multicone graph is defined to be the join of a clique and a regular graph. Let C and K w denote the Clebsch graph and a complete graph on w vertices, respectively. In this paper, we show that the multicone graphs K w ▽C are determined by their signless Laplacian spectrum.
1

131
141


A.
Zeydi Abdian
Department of Mathematical Sciences, Lorestan University, Lorestan, Khoramabad,
Iran.
Department of Mathematical Sciences, Lorestan
Iran
aabdian67@gmail.com


Gh. H.
FathTabar
Department of Pure Mathematics, Faculty of Mathematical Sciences, University
of Kashan, Kashan 8731753153, Iran.
Department of Pure Mathematics, Faculty of
Iran
fathtabar@kashanu.ac.ir


M.
Rahmani Moghaddam
Department of Mathematics, BuAli Sina University, Hamadan, Iran.
Department of Mathematics, BuAli Sina University,
Iran
maryam.rahmanimoghadam@gmail.com
Clebsch graph
DS graph
Signless Laplacian spectra
Multicone graph
A GRAPH WHICH RECOGNIZES IDEMPOTENTS OF A COMMUTATIVE RING
2
2
In this paper we introduce and study a graph on the set of ideals of a commutative ring $R$. The vertices of this graph are nontrivial ideals of $R$ and two distinct ideals $I$ and $J$ are adjacent if and only $IJ=Icap J$. We obtain some properties of this graph and study its relation to the structure of $R$.
1

143
154


H.
Dorbidi
Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box
7867161167, Jiroft, Iran.
Department of Mathematics, Faculty of Science,
Iran
hr_dorbidi@ujiroft.ac.ir


S.
Alikhani
Department of Mathematics, Yazd University, 89195741, Yazd, Iran.
Department of Mathematics, Yazd University,
Iran
alikhani@yazd.ac.ir
Graph
diameter
Ring
Idempotent
PCLOSURE IN PSEUDO BCIALGEBRAS
2
2
In this paper, for any nonempty subset C of a pseudo BCIalgebra X, the concept of pclosure of C, denoted by C(pc), is introduced and some related properties are investigated. Applying this concept, a characterization of the minimal elements of X is given. It is proved that C(pc) is the least closed pseudo BCIideal of X containing C and K(X) for any ideal C of X. Finally, by using the concept of pclosure, a closure operator is introduced.
1

155
165


H.
Harizavi
Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Department of Mathematics, Shahid Chamran
Iran
harizavi@scu.ac.ir
Pseudo BCIalgebra
Pseudo BCIideal
Pclosure
Closure operator
A KIND OF FINVERSE SPLIT MODULES
2
2
Let M be a right module over a ring R. In this manuscript, we shall study on a special case of Finverse split modules where F is a fully invariant submodule of M introduced in [12]. We say M is Z 2(M)inverse split provided f^(1)(Z2(M)) is a direct summand of M for each endomorphism f of M. We prove that M is Z2(M)inverse split if and only if M is a direct sum of Z2(M) and a Z2torsionfree Rickart submodule. It is shown under some assumptions that the class of right perfect rings R for which every right Rmodule M is Z2(M)inverse split (Z(M)inverse split) is precisely that of right GVrings.
1

167
178


M.
Hosseinpour
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,
P.O. Box 4741695447, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical
Iran
mehrab.hosseinpour@gmail.com


A. R.
Moniri Hamzekolaee
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran,
P.O. Box 4741695447, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical
Iran
a.monirih@umz.ac.ir
Rickart module
Z(M)inverse split module
Z^2(M)inverse split module
A CHARACTERIZATION FOR METRIC TWODIMENSIONAL GRAPHS AND THEIR ENUMERATION
2
2
The textit{metric dimension} of a connected graph $G$ is the minimum number of vertices in a subset $B$ of $G$ such that all other vertices are uniquely determined by their distances to the vertices in $B$. In this case, $B$ is called a textit{metric basis} for $G$. The textit{basic distance} of a metric two dimensional graph $G$ is the distance between the elements of $B$. Giving a characterization for those graphs whose metric dimensions are two, we enumerate the number of $n$ vertex metric two dimensional graphs with basic distance 1.
1

179
187


M.
Mohagheghy Nezhad
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi
Iran
mostafa.mohaqeqi@mail.um.ac.ir


F.
Rahbarnia
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi
Iran
rahbarnia@um.ac.ir


M.
Mirzavaziri
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159,
Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi
Iran
mirzavaziri@um.ac.ir


R.
Ghanbari
Department of Applied Mathematics, Ferdowsi University of Mashhad, P.O. Box
1159, Mashhad, Iran.
Department of Applied Mathematics, Ferdowsi
Iran
rghanbari@um.ac.ir
Metric dimension
Resolving set
Metric basis
Basic distance
Contour of a graph
COMPUTING THE EIGENVALUES OF CAYLEY GRAPHS OF ORDER p2q
2
2
A graph is called symmetric if its full automorphism group acts transitively on the set of arcs. The Cayley graph $Gamma=Cay(G,S)$ on group $G$ is said to be normal symmetric if $N_A(R(G))=R(G)rtimes Aut(G,S)$ acts transitively on the set of arcs of $Gamma$. In this paper, we classify all connected tetravalent normal symmetric Cayley graphs of order $p^2q$ where $p>q$ are prime numbers.
1

189
203


M.
Ghorbani
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785136, I. R. Iran.
Department of Mathematics, Faculty of Science,
Iran
mghorbani@sru.ac.ir


A.
SeyyedHadi
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785136, I. R. Iran.
Department of Mathematics, Faculty of Science,
Iran
aziz.saidhadi@gmail.com


F.
NowrooziLarki
Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training
University, Tehran, 16785136, I. R. Iran.
Department of Mathematics, Faculty of Science,
Iran
fnowroozi@gmail.com
symmetric graph
Cayley graph
normal graph
arctransitive graph
A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS
2
2
In this paper, we extend the notion of 2absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2absorbing hyperideals. We present some illustrative examples. Also, we study fundamental properties of 2absorbing hyperideals on Krasner hyperrings and investigate some related results.
1

205
216


L.
Kamali Ardekani
Faculty of Engineering, Ardakan University, P.O. Box 184, Ardakan, Iran.
Faculty of Engineering, Ardakan University,
Iran
l.kamali@ardakan.ac.ir


B.
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran.
Department of Mathematics, Yazd University,
Iran
davvaz@yazd.ac.ir
Prime hyperideal
2absorbing hyperideal
Krasner hyperring
EQUALIZERS IN THE CATEGORIES FUZZ AND TOPFUZZ
2
2
It is well known that the categories Fuzz of fuzzes and TopFuzz of topological fuzzes are both complete and cocomplete, and some categorical properties of them were introduced by many authors. In this paper, we introduce the structure of equalizers in these categories. In particular, we show that every regular monomorphism is an injective map, but monomorphisms need not be injective, in general.
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217
226


Gh.
Mirhosseinkhani
Department of Mathematics and Computer Sciences, Sirjan University of Technology,
Sirjan, Iran.
Department of Mathematics and Computer Sciences,
Iran
gh.mirhosseini@yahoo.com


N.
Nazari
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
Department of Mathematics, University of
Iran
nazarinargesmath@yahoo.com
Fuzz
Topological fuzz
Molecular lattice
Equalizer
ON SEMICOVERING, SUBSEMICOVERING, AND SUBCOVERING MAPS
2
2
In this paper, by reviewing the concept of subcovering and semicovering maps, we extend the notion of subcovering map to subsemicovering map. We present some necessary or sufficient conditions for a local homeomorphism to be a subsemicovering map. Moreover, we investigate the relationship between these conditions by some examples. Finally, we give a necessary and sufficient condition for a subsemicovering map to be semicovering.
1

227
244


M.
Kowkabi
Department of Mathematics, University of Gonabad, P.O. Box 5767896919, Gonabad,
Iran.
Department of Mathematics, University of
Iran
m.kowkabi@stu.um.ac.ir


B.
Mashayekhi
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159
91775, Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi
Iran
bmashf@um.ac.ir


H.
Torabi
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159
91775, Mashhad, Iran.
Department of Pure Mathematics, Ferdowsi
Iran
h.torabi@ferdowsi.um.ac.ir
local homeomorphism
fundamental group
covering map
semicovering map subcovering map
subsemicovering map
ON LOCAL ANTIMAGIC CHROMATIC NUMBER OF GRAPHS
2
2
A {it local antimagic labeling} of a connected graph $G$ with at least three vertices, is a bijection $f:E(G) rightarrow {1,2,ldots , E(G)}$ such that for any two adjacent vertices $u$ and $v$ of $G$, the condition $omega _{f}(u) neq omega _{f}(v)$ holds; where $omega _{f}(u)=sum _{xin N(u)} f(xu)$. Assigning $omega _{f}(u)$ to $u$ for each vertex $u$ in $V(G)$, induces naturally a proper vertex coloring of $G$; and $f$ denotes the number of colors appearing in this proper vertex coloring. The {it local antimagic chromatic number} of $G$, denoted by $chi _{la}(G)$, is defined as the minimum of $f$, where $f$ ranges over all local antimagic labelings of $G$. In this paper, we explicitly construct an infinite class of connected graphs $G$ such that $chi _{la}(G)$ can be arbitrarily large while $chi _{la}(G vee bar{K_{2}})=3$, where $G vee bar{K_{2}}$ is the join graph of $G$ and the complement graph of $K_{2}$. The aforementioned fact leads us to an infinite class of counterexamples to a result of [Local antimagic vertex coloring of a graph, Graphs and Combinatorics 33} (2017), 275285].
1

245
256


S.
Shaebani
School of Mathematics and Computer Science, Damghan University, P.O. Box
3671641167, Damghan, Iran.
School of Mathematics and Computer Science,
Iran
shaebani@du.ac.ir
Antimagic labeling
Local antimagic labeling
Local antimagic chromatic number
ON PRIMARY IDEALS OF POINTFREE FUNCTION RINGS
2
2
We study primary ideals of the ring $mathcal{R}L$ of realvalued continuous functions on a completely regular frame $L$. We observe that prime ideals and primary ideals coincide in a $P$frame. It is shown that every primary ideal in $mathcal{R}L$ is contained in a unique maximal ideal, and an ideal $Q$ in $mathcal{R}L$ is primary if and only if $Q capmathcal{R}^*L$ is a primary ideal in $mathcal{R}^*L$. We show that every pseudoprime (primary) ideal in $mathcal{R}L$ is either an essential ideal or a maximal ideal which is at the same time a minimal prime ideal. Finally, we prove that if $L$ is a connected frame, then the zero ideal in $mathcal{R}L$ is decomposable if and only if $L={bf2}$.
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257
269


M.
Abedi
Esfarayen University of Technology, Esfarayen, North Khorasan, Iran.
Esfarayen University of Technology, Esfarayen,
Iran
abedi@esfarayen.ac.ir
Frame
primary ideal
pseudoprime ideal
ring of continuous realvalued functions
decomposable ideal
A REDUCTION IN THE SEARCH SPACE OF QCLDPC CODES WITH GIRTH 8
2
2
In this paper, we define a structure to obtain exponent matrices of girth8 QCLDPC codes with column weight 3. Using the difference matrices introduced by Amirzade et al., we investigate necessary and sufficient conditions which result in a Tanner graph with girth 8. Our proposed method contributes to reduce the search space in recognizing the elements of an exponent matrix. In fact, in this method we only search to obtain one row of an exponent matrix. The other rows are multiplications of that row.
1

271
280


F.
Amirzade
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood,
Iran.
Faculty of Mathematical Sciences, Shahrood
Iran
famirzade@gmail.com


M.
Alishahi
Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood,
Iran.
Faculty of Mathematical Sciences, Shahrood
Iran
meysam_alishahi@shahroodut.ac.ir


M.R.
RafsanjaniSadeghi
Department of Mathematics and Computer Science, Amirkabir University of Technology,
Tehran, Iran.
Department of Mathematics and Computer Science,
Iran
msadeghi@aut.ac.ir
QCLDPC codes
girth
Difference matrices
Lifting degree
FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES
2
2
Let R be a commutative Noetherian ring. In this paper we consider some relations between filter regular sequence,regular sequence and system of parameters over Rmodules. Also we obtain some new results about cofinitness and cominimaxness of local cohomology modules.
1

281
290


J.
Azami
Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.
Department of Mathematics, University of
Iran
jafar.azami@gmail.com
Filter regular sequence
Regular sequence
System of parameters
SOME NEW CONSTRUCTIONS OF LINEAR CODES INCLUDING A WIDE FAMILY OF MDS CODES
2
2
Let $mathbb{Z}_p$ be the finite field of integers modulo $p$, where $p>3$ is a prime integer. This paper presents new constructions of linear codes over $mathbb{Z}_p$. Based on our construction, linear codes of length $p1$, including a wide family of MDS codes, and codes of length $(p1)^2$ are constructed. we shall discuss the parameters of the codes defined while describing a generator matrix for the first family.
1

291
300


A.
Rafieepour
Department of Mathematical Sciences, University of Kashan, P.O. Box 87317
53153, Kashan, Iran.
Department of Mathematical Sciences, University
Iran
a.rafieepour@gmail.com


M.
Mazrooei
Department of Mathematical Sciences, University of Kashan, P.O. Box 87317
53153, Kashan, Iran.
Department of Mathematical Sciences, University
Iran
m.mazrooei@kashanu.ac.ir
Finite Fields
Linear Codes
MDS codes
SERRE SUBCATEGORY, LOCAL HOMOLOGY AND LOCAL COHOMOLOGY
2
2
We show some results about local homology modules and local cohomology modules concerning to being in a serre sub category of the category of Rmodules. Also for an ideal I of R we define the concept of CI condition on a serre category, which seems dual to CI condition of Melkerson [1]. As a main result we show that for any minimax Rmodule M of any serre category S that satisifies CI (CI) condition the local homology module HiI(M) (local cohomology module HIi(M) 2 S) for all i ≥ 0.
1

301
314


S. O.
Faramarzi
Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
Department of Mathematics, Payam Noor University
Iran
s.o.faramarzi@gmail.com


Z.
Barghsouz
Department of Mathematics, Payam Noor University (PNU), Tehran, Iran.
Department of Mathematics, Payam Noor University
Iran
zbarghsooz@gmail.com
local homology
Local cohomology
Serre category
ORDER DENSE ESSENTIALITY AND BEHAVIOR OF ORDER DENSE INJECTIVITY
2
2
In this paper, we study the categorical and algebraic properties, such as limits and colimits of the category PosS with respect to order dense embeddings. Injectivity with respect to this class of monomorphisms has been studied by the author and used to obtain information about injectivity relative to regular monomorphisms. Then, we study three different kinds of essentiality, usually used in literature, with respect to the class of all order dense embeddings of Sposets, and investigate their relations to order dense injectivity. We will see, among other things, that although all of these essential extensions are not necessarily equivalent, they behave equivalently with respect to order dense injectivity. More precisely, it is proved that order dense injectivity well behaves regarding these essentialities. Finally, a characterization of these essentialities over pogroups is given.
1

315
334


L.
Shahbaz
Department of Mathematics, University of Maragheh, P.O. Box 5518183111, Maragheh,
Iran.
Department of Mathematics, University of
Iran
leilashahbaz@yahoo.com
Sposet
order dense sub Sposet
odinjective
odessential